Collatz Final Gate v8.6: Non-synthetic 𝐿 0 = 16 Trigger Certification, Proxy→Corr(𝛿)/TwGap Interface, and Portable Level-2B Demo Packet

#### OverviewThis record bundles the **v8.6** release of the *Collatz Final Gate* program (main paper + Gate-B companion) together with a **portable, mechanically auditable Level-2B demo packet** and a **one-page \(L_0=16\) complete-certificate checklist**. The program is **certificate-first**: the global statement is reduced to a finite list of **checked inequalities** (Gate-B certificate), each with explicit margins and evidence pointers, and verified by deterministic audit scripts under hash-locked packet integrity. #### What is new in v8.6- **Non-synthetic provenance hooks**: the packet includes an audit mode that enforces a non-synthetic origin declaration and raw-input binding.- **Raw-driven q-sweep witness path**: an additional *raw-driven* q-sweep report is generated and required under the non-synthetic audit mode.- **Proxy→Corr(\(δ\))/TwGap interface (template level)**: the Gate-B companion formalizes a theorem-level interface for upgrading a measured proxy to a Corr(\(δ\))/TwGap-sufficient condition (with version/label binding into the certificate metadata).- **Portable packet hygiene**: absolute paths are disallowed in witnesses; bytecode artifacts are excluded; the binder enforces a manifest SHA-256 seal. #### Included artifacts (4 files)1. **Main paper (PDF)**: *Collatz Final Gate v8.6*2. **Companion paper (PDF)**: *GateB Bottleneck v1.8r2*3. **One-page checklist (PDF)**: \(L_0=16\) complete certificate checklist (v8.6r2)4. **Portable Level-2B demo packet (ZIP)**: sealed packet with manifest SHA-256 binding and `sealed_full_nonsynth` audit support #### Reproducibility (mechanical audit)Unzip the demo packet and run:- `python -B scripts/audit_all.py --mode sealed_full`- `python -B scripts/audit_all.py --mode sealed_full_nonsynth` The audit enforces:- manifest SHA-256 integrity and binder sealing,- no shipped/generated bytecode artifacts during audit (bytecode hygiene),- non-synthetic provenance binding (in `sealed_full_nonsynth`),- required report presence and threshold checks for the Gate-B certificate. #### Scope and caveatsThis release **does not claim** that Corr(\(δ\))/TwGap is already proved. Instead, it claims that the remaining arithmetic burden is reduced to a **finite, auditable checklist** with explicit margins and evidence pointers, and provides a **portable** packet interface intended for third-party reproduction and incremental strengthening. #### Near-term targets (v8.6 → v8.7)- Produce a genuinely **non-synthetic** end-to-end \(L_0=16\) trigger instance (raw inputs → reports → certificate → seal → audit PASS).- Upgrade the **Proxy→Corr(\(δ\))/TwGap** implication from template level to a fully theorem-backed certificate item, with audit-enforced version/label binding. ========================= Author: Lee Byoungwoo leeclinic@protonmail.com